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Finding the Fourth Proportional to 8,278.34, 11,423.53 and 4,921.43

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Solution

The fourth proportional to 8,278.34, 11,423.53 and 4,921.43 is: 6,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.34 : 11,423.53 = 4,921.43 : x
  2. Step 2: Convert to fraction form
    8,278.34/11,423.53 = 4,921.43/x
  3. Step 3: Cross multiply
    8,278.34x = 11,423.53 × 4,921.43
  4. Step 4: Simplify right side
    8,278.34x = 56,220,052.28
  5. Step 5: Solve for x
    x = 56,220,052.28/8,278.34
  6. Step 6: Final answer
    x = 6,791.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.